College Algebra

Use the given conditions to write an equation for the line in point-slope form and slope-intercept form. Passing through (-5,-2) and (5, 14) The graph shows the percentage of a country's adults on weight-loss diets. 2 24- 20- 16- Percentage on Diets (%) 12- 10 20 Years after 1987 a. Use the two points whose coordinates are shown to find the point-slope form of the equation of the line that models the percentage of adults on diets, y, x years after 1987. b. Solve the point-slope form of the equation for y and write an equivalent equation in slope-intercept form (y=mx+b) 2 Write the slope-intercept equation of the function f whose graph satisifies the given conditions. The graph of f passes through (-9,6) and is perpendicular to the line that has an x-intercept of 3 and a y-intercept of -9. 3 Complete the square and write the given equation in standard form. Then give the center and radius of the circle and graph the equation. x2 + y2 + 4x +4y +7=0 In the graph on the right, a line segment through the center of the circle intersects the circle at the points (3,2) and (15, 6) as shown. 13- a. Find the coordinates of the circle's center. b. Find the radius of the circle. c. Use your answers from parts (a) and (b) to write the standard form of the circle's equation. Consider the function f(x) = - 2x2+ 16x - 7. a. Determine, without graphing, whether the function has a minimum value or a maximum value. Find the minimum or maximum value and determine where it occurs. Identify the function's domain and its range